d) Write a conclusion based on the results. Choose the correct answer below.Pick one of the bolded words below. Reject/Do not reject the null hypothesis and claim that there is/is not sufficient evidence to conclude that the population mean is greater/less than 23 **Educational Transcript:**A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core curriculum results in a mean math score of 23.2 on the college entrance exam with a standard deviation of 3.1. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam? Complete parts a) through d) below.- **Critical Value Identification:** *Select the correct choice below and fill in the answer box within your choice.* - A. \( t_{\alpha} = 1.28 \) - B. \( t_{\alpha/2} = \_\_\_\_- **Conclusion Based on Results:** *Choose the correct answer below.* Reject the null hypothesis and claim that there **is** sufficient evidence to conclude that the population mean is **greater** than 23.

Solution: Given information: n= 250 Sample size x= 23.2 Sample mean s= 3.1 Sample standard deviation…

Answered: athematics portion suggests that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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d) Write a conclusion based on the results. Choose the correct answer below.Pick one of the bolded words below.

Reject/Do not reject the null hypothesis and claim that there is/is not sufficient evidence to conclude that the population mean is greater/less than 23

**Educational Transcript:**

A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core curriculum results in a mean math score of 23.2 on the college entrance exam with a standard deviation of 3.1. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the math portion of the exam? Complete parts a) through d) below.

- **Critical Value Identification:**

*Select the correct choice below and fill in the answer box within your choice.*
- A. \( t_{\alpha} = 1.28 \)
- B. \( t_{\alpha/2} = \_\_\_\_

- **Conclusion Based on Results:**

*Choose the correct answer below.*

Reject the null hypothesis and claim that there **is** sufficient evidence to conclude that the population mean is **greater** than 23.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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